Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Fitting ellipses and predicting confidence envelopes using a bias corrected Kalman filter
Image and Vision Computing - Special issue: 5th Alvey vision meeting
On Three-Dimensional Surface Reconstruction Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Accurate parameter estimation of quadratic curves from grey-level images
CVGIP: Image Understanding
Computational projective geometry
CVGIP: Image Understanding
Invariant Descriptors for 3D Object Recognition and Pose
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
Relative motion and pose from arbitrary plane curves
Image and Vision Computing
Ellipse detection and matching with uncertainty
Image and Vision Computing - Special issue: BMVC 1991
Constraints on quadratic-curved features under perspective projection
Image and Vision Computing
Geometric computation for machine vision
Geometric computation for machine vision
3D interpretation of conics and orthogonality
CVGIP: Image Understanding
Unbiased Estimation and Statistical Analysis of 3-D Rigid Motion from Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Unbiased Estimation of Ellipses by Bootstrapping
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Development and Comparison of Robust Methodsfor Estimating the Fundamental Matrix
International Journal of Computer Vision
Comments on "Nonparametric Segmentation of Curves Into Various Representations"
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New One-Parametric Fitting Method for Planar Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Implicit Polynomials, Orthogonal Distance Regression, and the Closest Point on a Curve
IEEE Transactions on Pattern Analysis and Machine Intelligence
Trajectory Triangulation: 3D Reconstruction of Moving Points from a Monocular Image Sequence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Heteroscedastic Regression in Computer Vision: Problems with Bilinear Constraint
International Journal of Computer Vision - Special issue on a special section on visual surveillance
Geometric Camera Calibration Using Circular Control Points
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Fitting of Surfaces to Data with Covariances
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rationalising the Renormalisation Method of Kanatani
Journal of Mathematical Imaging and Vision
Bayesian Model Estimation and Selection for Epipolar Geometry and Generic Manifold Fitting
International Journal of Computer Vision
Nonparametric Segmentation of Curves into Various Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition Letters
A New Framework of Invariant Fitting
CAIP '99 Proceedings of the 8th International Conference on Computer Analysis of Images and Patterns
Motion Recovery by Integrating over the Joint Image Manifold
International Journal of Computer Vision
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Application of the Fisher-Rao Metric to Ellipse Detection
International Journal of Computer Vision
On the conic section fitting problem
Journal of Multivariate Analysis
A simple method for fitting of bounding rectangle to closed regions
Pattern Recognition
On the Convergence of Fitting Algorithms in Computer Vision
Journal of Mathematical Imaging and Vision
Center-of-mass variation under projective transformation
Pattern Recognition Letters
Journal of Mathematical Imaging and Vision
Direct type-specific conic fitting and eigenvalue bias correction
Image and Vision Computing
Error Analysis in Homography Estimation by First Order Approximation Tools: A General Technique
Journal of Mathematical Imaging and Vision
A Two-Stage Point Pattern Matching Algorithm Using Ellipse Fitting and Dual Hilbert Scans
IEICE - Transactions on Information and Systems
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Precise ellipse estimation without contour point extraction
Machine Vision and Applications
Conic fitting using the geometric distance
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Real-Time 3D Stereo Tracking and Localizing of Spherical Objects with the iCub Robotic Platform
Journal of Intelligent and Robotic Systems
Hessian Matrix vs. Gauss-Newton Hessian Matrix
SIAM Journal on Numerical Analysis
Ellipse fitting with hyperaccuracy
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Computational Statistics & Data Analysis
| Hi-index | 0.15 |
Introducing a statistical model of noise in terms of the covariance matrix of the N-vector, we point out that the least-squares conic fitting is statistically biased. We present a new fitting scheme called renormalization for computing an unbiased estimate by automatically adjusting to noise. Relationships to existing methods are discussed, and our method is tested using real and synthetic data.